Atkin-Lehner |
2- 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bd |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
300672 |
Modular degree for the optimal curve |
Δ |
1616217265668096 = 227 · 33 · 7 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30221,-582091] |
[a1,a2,a3,a4,a6] |
j |
113050625088210291/59859898728448 |
j-invariant |
L |
6.9193092593411 |
L(r)(E,1)/r! |
Ω |
0.38440606994063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47502f2 |
Quadratic twists by: -3 |